Space-Time Curvature Signatures in Bose-Einstein Condensates

Abstract

We derive a generalized Gross-Pitaevski (GP) equation immersed on a electromagnetic and a weak gravitational field starting from the covariant Complex Klein-Gordon field in a curved space-time. We compare it with the GP equation where the gravitational field is added by hand as an external potential. We show that there is a small difference of order $gz/c^2$ between them that could be measured in the future using Bose-Einstein Condensates (BEC). This represents the next order correction to the Newtonian gravity in a curved space-time.

4 pages, no figures

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• Testing General Relativity with Atom Interferometry
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• Long-lived Bloch oscillations with bosonic Sr atoms and application to gravity measurement at micrometer scale

Cited by in corpus (1)

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